提出了基于单位脉冲解析响应的显式时域法，将其应用于模拟与我国《建筑抗震设计规范》(GB50011—2010)中规定的反应谱吻合的人造地震波和建筑结构的抗震随机模拟分析。首先推导了单自由度和多自由度动力系统基于单位脉冲解析响应的显式时域表达式；然后将单自由度系统的显式时域表达式应用于求解地震动的随机动力方程，利用其能快速求解动力响应的特点，通过迭代，可以高效模拟指定强度的人造地震波和与规范反应谱吻合的人造地震波；接着将模拟得到的地震波和多自由度动力系统的显式时域表达式应用于结构抗震随机模拟分析；最后通过算例进行了验证。基于现有的地震动模型和单位脉冲的显式时域表达可以高效模拟与规范反应谱吻合的地震波；基于单位脉冲的显式时域法结合振型叠加法，在结构抗震随机模拟分析中具有足够的精度和较高的效率，可用于建筑结构抗震时程分析。

An explicit time-domain method(ETDM) based on analytical response of unit impulse was proposed  to simulate the random seismic analysis of artificial seismic waves and building structures with response spectrum consistent with “Code for Seismic Design of Buildings” (GB 50011—2010). Firstly, explicit time domain expressions based on analytical response of unit impulse for single and multiple degree of freedom dynamical systems were derived. Then, the explicit time domain expression for single degree of freedom system was applied to solve the stochastic dynamic equation of the ground motion. Through iteration, the artificial seismic wave of the specified intensity and the artificial seismic wave that is consistent with the standard response spectrum can be simulated efficiently by taking the advantage of equation in quickly solving the dynamic response. Then, the explicit time-domain expressions of the simulated seismic wave and the multi-degree-of-freedom dynamic system were applied to the random seismic simulation analysis of structures and verified by a numerical example. The study shows that, based on the existing ground motion model and the explicit time domain representation of the unit pulse, the seismic wave which is consistent with the standard response spectrum can be simulated efficiently, and ETDM based on unit pulse combined with mode superposition method has sufficient accuracy and high efficiency in seismic random simulation analysis of structures, thus can be used for seismic time-history analysis of building structures.